The incident occurred in the third period of the game, and Jokinen was assessed a five-minute major and a game misconduct on the play.
In statements released late Thursday, both the Flames and Jokinen expressed their thoughts on the ban, which will keep Jokinen out of Calgary's line-up until Nov. 24.
"I disagree with the league's decision to suspend me for three games," explained Jokinen in a statement. "I believed from our discussion this morning that there was an understanding that my intent was not to injure and circumstances that resulted in my stick going higher then expected.
"While I am upset with the ruling, I will abide by it and serve my three games while preparing to help my team when I return. I will have no further say on the matter," added Jokinen.
The Flames expressed a similar sentiment about the ruling.
"We are very disappointed that the league has ruled this incident worthy of a three-game suspension for Olli," said the Flames in a statement. "However, we respect both the review process and the league's decision."
In 17 games this season, Jokinen has two goals and six assists. The 31-year old was signed by the Flames as an unrestricted free agent last summer after being traded by Calgary to the New York Rangers in February.